Download Geometry and measures – Pick and mix revision cards

Geometry and measures – Pick and mix revision cards
What is the formula for finding the
perimeter of a square with side s?
State two formulae to find the area of a
triangle.
A = ½ × base × height
P = 4s
A = ½absinC
a) Sketch two parallel lines.
b) Sketch two perpendicular lines.
a)
Sketch and label a parallelogram.
b)
Describe a trapezium.
Name all the quadrilaterals which have
two pairs of parallel lines.
A quadrilateral with one pair of parallel
lines
Square
Rectangle
Rhombus
Parallelogram
The circumference of a football is 70cm.
Find its radius to 3 significant figures.
The diameter of a semicircle is 8.2cm.
Find its area to 3 significant figures.
Circumference  2r
Areasemicircle 
C
2
70

2
 11.1cm
r 
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
1
2
1
2
r²
  4.1²
 26.4cm²
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Geometry and measures – Pick and mix revision cards
What value do you get if you divide the
circumference of a circle by the
diameter?
Describe a cuboid.
π (pi)
3.14159 ...
A solid with 3 pairs of rectangular faces
How many edges does a cube have?
How do you calculate the volume of a
cuboid?
12
length × width × height
A regular polygon has interior angles of
175°. How many sides does it have?
Work out the size of an interior angle in
a regular nonagon.
Number of sides  360  exterior angle
 interior angles   180  (9  2)  1260
interior angle  1260  9  140
or
 exterior angles  360
 360  5
 72 sides
exterior angle  360  9  40
interior angle  180  40  140
Describe the alternate segment
theorem.
Calculate the angles in a regular
pentagram (five pointed star).
The angle between
a tangent and a
chord is equal to
the angle
subtended in the
alternate
segment.
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a = 108°
b =72°
c = 36°
d = 108°
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Geometry and measures – Pick and mix revision cards
A rectangular wall measures 2.5m × 3m.
How many square tiles with side 50cm
will be needed to cover the wall?
Give 6 litres as pints.
1 litre  1 3 pints
4
5 × 6 = 30
6 litres  10 1 pints
2
Convert 4.6m2 to cm2.
Convert 3.6 hours to seconds.
1m  100cm
1m²  10000cm²
1 hour  3600 seconds
3.6 hours  12960 seconds
4.6m²  46000cm²
(forty-six thousand)
The density of steel is 7700kg/m3.
A block of steel has a mass of 1540kg.
What is the volume of the block?
The point (2,4) lies on a horizontal line.
What is the equation of the line?
mass
volume
mass
volume 
density
density 
y=4
1540
7700
 0.2m²

Give the midpoint of the line joining
coordinates (-5,8) and (9,-13).
Calculate the distance between (5,-1)
and (3,7), leaving your answer in surd
form.
h²  (5  3)²  (1  7)²
h  68
(2,-2.5)
 2 17
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Geometry and measures – Pick and mix revision cards
What three rules must be followed when
giving bearings?
What information is needed to fully
describe an enlargement?
Start from north
Measure clockwise
Give three figures
Scale factor
Centre of enlargement
What information is needed to fully
describe a rotation?
What information is needed to fully
describe a reflection?
Angle of rotation
Centre of rotation
Direction of rotation (e.g. clockwise)
Equation of the mirror line
Give the number of lines of symmetry:
a) H
b) O
c) P
e) E
Give the three trigonometric ratios.
a)
b)
c)
d)
2
2 (or infinite in a uniform circle)
0
1
How would you find the third side of a
right angled triangle if given the two
other sides?
Sine:
sin 
opposite
hypotenuse
Cosine:
cos 
adjacent
hypotenuse
Tangent:
tan 
opposite
adjacent
What is the length of the diagonal of a
rectangle with sides 8cm and 15cm?
Using Pythagoras’ theorem:
Pythagoras’ theorem
h²  8²  15²
(Trigonometry is only used with angles.)
h  289
 17cm
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